%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU315+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:21 AM UTC 2026 % Result : Theorem 206.95s 207.23s % Output : Proof 206.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU315+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:55:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 206.95/207.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 206.95/207.23 --- Run --no-e-matching --full-saturate-quant at 6... % 206.95/207.23 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 206.95/207.23 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 206.95/207.23 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 206.95/207.23 --- Run --trigger-sel=max --full-saturate-quant at 15... % 206.95/207.23 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 206.95/207.23 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 206.95/207.23 --- Run --prenex-quant=none --full-saturate-quant at 30... % 206.95/207.23 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 206.95/207.23 --- Run --relevant-triggers --full-saturate-quant at 30... % 206.95/207.23 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 206.95/207.23 % SZS status Theorem % 206.95/207.23 % SZS output start Proof % 206.95/207.23 ( % 206.95/207.23 (declare-sort $$unsorted 0) % 206.95/207.23 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.empty (-> $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.natural (-> $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 206.95/207.23 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 206.95/207.23 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.empty_set $$unsorted) % 206.95/207.23 (declare-const tptp.top_str (-> $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 206.95/207.23 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 206.95/207.23 (define @t1 () (@var "D" $$unsorted)) % 206.95/207.23 (define @t2 () (@var "B" $$unsorted)) % 206.95/207.23 (define @t3 () (tptp.subset @t2 @t1)) % 206.95/207.23 (define @t4 () (@var "A" $$unsorted)) % 206.95/207.23 (define @t5 () (@var "E" $$unsorted)) % 206.95/207.23 (define @t6 () (tptp.closed_subset @t5 @t4)) % 206.95/207.23 (define @t7 () (= @t5 @t1)) % 206.95/207.23 (define @t8 () (tptp.powerset (tptp.the_carrier @t4))) % 206.95/207.23 (define @t9 () (tptp.element @t5 @t8)) % 206.95/207.23 (define @t10 () (and @t9 @t7 @t6 @t3)) % 206.95/207.23 (define @t11 () (@list @t5)) % 206.95/207.23 (define @t12 () (exists @t11 @t10)) % 206.95/207.23 (define @t13 () (@var "C" $$unsorted)) % 206.95/207.23 (define @t14 () (tptp.in @t1 @t13)) % 206.95/207.23 (define @t15 () (= @t14 @t12)) % 206.95/207.23 (define @t16 () (tptp.element @t1 @t8)) % 206.95/207.23 (define @t17 () (=> @t16 @t15)) % 206.95/207.23 (define @t18 () (@list @t1)) % 206.95/207.23 (define @t19 () (forall @t18 @t17)) % 206.95/207.23 (define @t20 () (tptp.element @t13 (tptp.powerset @t8))) % 206.95/207.23 (define @t21 () (and @t20 @t19)) % 206.95/207.23 (define @t22 () (@list @t13)) % 206.95/207.23 (define @t23 () (exists @t22 @t21)) % 206.95/207.23 (define @t24 () (tptp.element @t2 @t8)) % 206.95/207.23 (define @t25 () (tptp.top_str @t4)) % 206.95/207.23 (define @t26 () (tptp.topological_space @t4)) % 206.95/207.23 (define @t27 () (and @t26 @t25 @t24)) % 206.95/207.23 (define @t28 () (=> @t27 @t23)) % 206.95/207.23 (define @t29 () (@list @t4 @t2)) % 206.95/207.23 (define @t30 () (forall @t29 @t28)) % 206.95/207.23 (define @t31 () (not @t30)) % 206.95/207.23 (define @t32 () (tptp.v4_membered @t4)) % 206.95/207.23 (define @t33 () (tptp.v5_membered @t4)) % 206.95/207.23 (define @t34 () (@list @t4)) % 206.95/207.23 (define @t35 () (tptp.v3_membered @t4)) % 206.95/207.23 (define @t36 () (tptp.v2_membered @t4)) % 206.95/207.23 (define @t37 () (tptp.v1_membered @t4)) % 206.95/207.23 (define @t38 () (tptp.empty @t4)) % 206.95/207.23 (define @t39 () (not @t38)) % 206.95/207.23 (define @t40 () (tptp.v1_xcmplx_0 @t2)) % 206.95/207.23 (define @t41 () (tptp.element @t2 @t4)) % 206.95/207.23 (define @t42 () (@list @t2)) % 206.95/207.23 (define @t43 () (tptp.v1_xreal_0 @t2)) % 206.95/207.23 (define @t44 () (tptp.v1_rat_1 @t2)) % 206.95/207.23 (define @t45 () (tptp.v1_int_1 @t2)) % 206.95/207.23 (define @t46 () (tptp.v1_membered @t2)) % 206.95/207.23 (define @t47 () (tptp.powerset @t4)) % 206.95/207.23 (define @t48 () (tptp.element @t2 @t47)) % 206.95/207.23 (define @t49 () (tptp.v2_membered @t2)) % 206.95/207.23 (define @t50 () (tptp.v3_membered @t2)) % 206.95/207.23 (define @t51 () (tptp.v4_membered @t2)) % 206.95/207.23 (define @t52 () (tptp.empty @t2)) % 206.95/207.23 (define @t53 () (tptp.in @t2 @t4)) % 206.95/207.23 (define @t54 () (tptp.in @t4 @t2)) % 206.95/207.23 (define @t55 () (forall @t34 (not (tptp.empty @t47)))) % 206.95/207.23 (define @t56 () (tptp.in @t1 @t8)) % 206.95/207.23 (define @t57 () (and @t56 @t12)) % 206.95/207.23 (define @t58 () (= @t14 @t57)) % 206.95/207.23 (define @t59 () (forall @t18 @t58)) % 206.95/207.23 (define @t60 () (exists @t22 @t59)) % 206.95/207.23 (define @t61 () (=> @t27 @t60)) % 206.95/207.23 (define @t62 () (forall @t29 @t61)) % 206.95/207.23 (define @t63 () (= @t41 @t52)) % 206.95/207.23 (define @t64 () (= @t41 @t53)) % 206.95/207.23 (define @t65 () (and (=> @t39 @t64) (=> @t38 @t63))) % 206.95/207.23 (define @t66 () (forall @t29 @t65)) % 206.95/207.23 (define @t67 () (tptp.element @t4 (tptp.powerset @t2))) % 206.95/207.23 (define @t68 () (tptp.in @t13 @t2)) % 206.95/207.23 (define @t69 () (tptp.in @t13 @t4)) % 206.95/207.23 (define @t70 () (forall @t22 (=> @t69 @t68))) % 206.95/207.23 (define @t71 () (=> @t70 @t67)) % 206.95/207.23 (define @t72 () (forall @t29 @t71)) % 206.95/207.23 (define @t73 () (@var "b_A" it_3_$$unsorted)) % 206.95/207.23 (define @t74 () (@const 0 (-> it_3_$$unsorted it_3_$$unsorted))) % 206.95/207.23 (define @t75 () (@const 1 (-> it_3_$$unsorted Bool))) % 206.95/207.23 (define @t76 () (@var "b_D" it_3_$$unsorted)) % 206.95/207.23 (define @t77 () (@const 2 (-> it_3_$$unsorted $$unsorted Bool))) % 206.95/207.23 (define @t78 () (@const 3 (-> $$unsorted it_3_$$unsorted))) % 206.95/207.23 (define @t79 () (_ @t74 (_ @t78 @t4))) % 206.95/207.23 (define @t80 () (@const 4 (-> it_3_$$unsorted it_3_$$unsorted Bool))) % 206.95/207.23 (define @t81 () (_ @t80 @t76 @t79)) % 206.95/207.23 (define @t82 () (@var "b_B" it_3_$$unsorted)) % 206.95/207.23 (define @t83 () (@const 5 (-> it_3_$$unsorted it_3_$$unsorted Bool))) % 206.95/207.23 (define @t84 () (@var "b_C" it_3_$$unsorted)) % 206.95/207.23 (define @t85 () (@const 6 (-> it_3_$$unsorted it_3_$$unsorted Bool))) % 206.95/207.23 (define @t86 () (_ @t85 @t76 @t84)) % 206.95/207.23 (define @t87 () (@list @t76)) % 206.95/207.23 (define @t88 () (@list @t84)) % 206.95/207.23 (define @t89 () (not @t25)) % 206.95/207.23 (define @t90 () (not @t26)) % 206.95/207.23 (define @t91 () (forall (@list @t4 @t82) (or @t90 @t89 (not (_ @t80 @t82 @t79)) (not (forall @t88 (or (not (_ @t80 @t84 (_ @t74 @t79))) (not (forall @t87 (or (not @t81) (= @t86 (and (_ @t83 @t82 @t76) @t81 (_ @t77 @t76 @t4)))))))))))) % 206.95/207.23 (define @t92 () (@quantifiers_skolemize @t91 0)) % 206.95/207.23 (define @t93 () (_ @t78 @t92)) % 206.95/207.23 (define @t94 () (@var "b_D" it_3_$$unsorted)) % 206.95/207.23 (define @t95 () (@var "b_B" it_3_$$unsorted)) % 206.95/207.23 (define @t96 () (@var "b_C" it_3_$$unsorted)) % 206.95/207.23 (define @t97 () (_ @t85 @t94 @t96)) % 206.95/207.23 (define @t98 () (@list @t94)) % 206.95/207.23 (define @t99 () (@list @t96)) % 206.95/207.23 (define @t100 () (tptp.closed_subset @t1 @t4)) % 206.95/207.23 (define @t101 () (and @t56 @t3 @t16 @t100)) % 206.95/207.23 (define @t102 () (forall @t18 (= @t14 @t101))) % 206.95/207.23 (define @t103 () (not (forall @t22 (not @t102)))) % 206.95/207.23 (define @t104 () (not @t24)) % 206.95/207.23 (define @t105 () (or @t90 @t89 @t104 @t103)) % 206.95/207.23 (define @t106 () (or @t90 @t89 @t104)) % 206.95/207.23 (define @t107 () (not @t27)) % 206.95/207.23 (define @t108 () (and @t3 @t16 @t100)) % 206.95/207.23 (define @t109 () (not @t100)) % 206.95/207.23 (define @t110 () (not @t109)) % 206.95/207.23 (define @t111 () (not @t16)) % 206.95/207.23 (define @t112 () (not @t111)) % 206.95/207.23 (define @t113 () (not @t3)) % 206.95/207.23 (define @t114 () (not @t113)) % 206.95/207.23 (define @t115 () (and @t114 @t112 @t110)) % 206.95/207.23 (define @t116 () (or @t111 @t109)) % 206.95/207.23 (define @t117 () (or @t113 @t111 @t109)) % 206.95/207.23 (define @t118 () (not @t117)) % 206.95/207.23 (define @t119 () (and @t56 @t118)) % 206.95/207.23 (define @t120 () (= @t14 @t119)) % 206.95/207.23 (define @t121 () (not (= @t1 @t1))) % 206.95/207.23 (define @t122 () (or @t111 @t121 @t109)) % 206.95/207.23 (define @t123 () (not @t6)) % 206.95/207.23 (define @t124 () (= @t1 @t5)) % 206.95/207.23 (define @t125 () (not @t124)) % 206.95/207.23 (define @t126 () (not @t9)) % 206.95/207.23 (define @t127 () (or @t125 @t126 @t125 @t123)) % 206.95/207.23 (define @t128 () (or @t126 @t125 @t123)) % 206.95/207.23 (define @t129 () (forall @t11 @t128)) % 206.95/207.23 (define @t130 () (or @t113 @t129)) % 206.95/207.23 (define @t131 () (or @t113 @t128)) % 206.95/207.23 (define @t132 () (or @t126 @t125 @t123 @t113)) % 206.95/207.23 (define @t133 () (and @t9 @t124 @t6 @t3)) % 206.95/207.23 (define @t134 () (forall @t11 (not @t133))) % 206.95/207.23 (define @t135 () (not @t134)) % 206.95/207.23 (define @t136 () (@quantifiers_skolemize @t91 1)) % 206.95/207.23 (define @t137 () (forall @t18 (or @t111 (= @t14 @t108)))) % 206.95/207.23 (define @t138 () (not (forall @t22 (or (not @t20) (not @t137))))) % 206.95/207.23 (define @t139 () (or @t90 @t89 @t104 @t138)) % 206.95/207.23 (define @t140 () (and @t20 @t137)) % 206.95/207.23 (define @t141 () (forall @t22 (not @t140))) % 206.95/207.23 (define @t142 () (not @t141)) % 206.95/207.23 (define @t143 () (= @t14 @t118)) % 206.95/207.23 (define @t144 () (_ @t74 @t93)) % 206.95/207.23 (define @t145 () (_ @t80 @t136 @t144)) % 206.95/207.23 (define @t146 () (_ @t80 @t76 @t144)) % 206.95/207.23 (define @t147 () (and (_ @t83 @t136 @t76) @t146 (_ @t77 @t76 @t92))) % 206.95/207.23 (define @t148 () (not @t146)) % 206.95/207.23 (define @t149 () (_ @t74 @t144)) % 206.95/207.23 (define @t150 () (forall @t88 (or (not (_ @t80 @t84 @t149)) (not (forall @t87 (or @t148 (= @t86 @t147))))))) % 206.95/207.23 (define @t151 () (not @t150)) % 206.95/207.23 (define @t152 () (not @t145)) % 206.95/207.23 (define @t153 () (tptp.top_str @t92)) % 206.95/207.23 (define @t154 () (not @t153)) % 206.95/207.23 (define @t155 () (tptp.topological_space @t92)) % 206.95/207.23 (define @t156 () (not @t155)) % 206.95/207.23 (define @t157 () (or @t156 @t154 @t152 @t151)) % 206.95/207.23 (define @t158 () (@list true)) % 206.95/207.23 (define @t159 () (@list @t157)) % 206.95/207.23 (define @t160 () (and (_ @t85 @t94 @t144) (_ @t83 @t136 @t94) (_ @t80 @t94 @t144) (_ @t77 @t94 @t92))) % 206.95/207.23 (define @t161 () (forall @t99 (not (forall @t98 (= @t97 @t160))))) % 206.95/207.23 (define @t162 () (not @t161)) % 206.95/207.23 (define @t163 () (or @t156 @t154 @t152 @t162)) % 206.95/207.23 (define @t164 () (@quantifiers_skolemize @t161 0)) % 206.95/207.23 (define @t165 () (_ @t85 @t94 @t164)) % 206.95/207.23 (define @t166 () (forall @t98 (= @t160 @t165))) % 206.95/207.23 (define @t167 () (forall @t98 (= @t165 @t160))) % 206.95/207.23 (define @t168 () (not (not @t167))) % 206.95/207.23 (define @t169 () (_ @t85 @t76 @t164)) % 206.95/207.23 (define @t170 () (forall @t87 (or @t148 (= @t147 @t169)))) % 206.95/207.23 (define @t171 () (@quantifiers_skolemize @t170 0)) % 206.95/207.23 (define @t172 () (_ @t77 @t171 @t92)) % 206.95/207.23 (define @t173 () (_ @t80 @t171 @t144)) % 206.95/207.23 (define @t174 () (_ @t83 @t136 @t171)) % 206.95/207.23 (define @t175 () (_ @t85 @t171 @t144)) % 206.95/207.23 (define @t176 () (and @t175 @t174 @t173 @t172)) % 206.95/207.23 (define @t177 () (_ @t85 @t171 @t164)) % 206.95/207.23 (define @t178 () (= @t176 @t177)) % 206.95/207.23 (define @t179 () (= @t177 @t176)) % 206.95/207.23 (define @t180 () (@list false)) % 206.95/207.23 (define @t181 () (@list @t166)) % 206.95/207.23 (define @t182 () (and @t174 @t173 @t172)) % 206.95/207.23 (define @t183 () (not @t182)) % 206.95/207.23 (define @t184 () (not @t176)) % 206.95/207.23 (define @t185 () (or @t148 (= @t169 @t147))) % 206.95/207.23 (define @t186 () (forall @t87 @t185)) % 206.95/207.23 (define @t187 () (not @t186)) % 206.95/207.23 (define @t188 () (_ @t80 @t164 @t149)) % 206.95/207.23 (define @t189 () (not @t188)) % 206.95/207.23 (define @t190 () (or @t189 @t187)) % 206.95/207.23 (define @t191 () (not @t170)) % 206.95/207.23 (define @t192 () (or @t189 @t191)) % 206.95/207.23 (define @t193 () (@var "b_B" it_3_$$unsorted)) % 206.95/207.23 (define @t194 () (@var "b_A" it_3_$$unsorted)) % 206.95/207.23 (define @t195 () (@var "b_C" it_3_$$unsorted)) % 206.95/207.23 (define @t196 () (@list @t195)) % 206.95/207.23 (define @t197 () (forall @t22 (or (not @t69) @t68))) % 206.95/207.23 (define @t198 () (forall @t196 (or (not (_ @t85 @t195 @t164)) (_ @t85 @t195 @t144)))) % 206.95/207.23 (define @t199 () (@quantifiers_skolemize @t198 0)) % 206.95/207.23 (define @t200 () (_ @t85 @t199 @t164)) % 206.95/207.23 (define @t201 () (_ @t85 @t199 @t144)) % 206.95/207.23 (define @t202 () (not @t200)) % 206.95/207.23 (define @t203 () (or @t202 @t201)) % 206.95/207.23 (define @t204 () (and @t201 (_ @t83 @t136 @t199) (_ @t80 @t199 @t144) (_ @t77 @t199 @t92))) % 206.95/207.23 (define @t205 () (= @t204 @t200)) % 206.95/207.23 (define @t206 () (= @t200 @t204)) % 206.95/207.23 (define @t207 () (not @t203)) % 206.95/207.23 (define @t208 () (not @t198)) % 206.95/207.23 (define @t209 () (or @t208 @t188)) % 206.95/207.23 (define @t210 () (@list false false)) % 206.95/207.23 (define @t211 () (= @t182 @t177)) % 206.95/207.23 (define @t212 () (not @t173)) % 206.95/207.23 (define @t213 () (or @t212 @t211)) % 206.95/207.23 (define @t214 () (not @t213)) % 206.95/207.23 (define @t215 () (@list @t213)) % 206.95/207.23 (define @t216 () (not @t179)) % 206.95/207.23 (define @t217 () (not @t177)) % 206.95/207.23 (define @t218 () (@list false false true true true)) % 206.95/207.23 (define @t219 () (@list @t179 @t177 @t211 @t176 @t182)) % 206.95/207.23 (define @t220 () (not @t172)) % 206.95/207.23 (define @t221 () (not @t174)) % 206.95/207.23 (define @t222 () (@list true false)) % 206.95/207.23 (define @t223 () (not @t175)) % 206.95/207.23 (define @t224 () (= @t173 @t175)) % 206.95/207.23 (define @t225 () (not @t224)) % 206.95/207.23 (define @t226 () (@var "b_BOUND_VARIABLE_7977" it_3_$$unsorted)) % 206.95/207.23 (define @t227 () (@var "b_BOUND_VARIABLE_7975" it_3_$$unsorted)) % 206.95/207.23 (define @t228 () (@var "b_BOUND_VARIABLE_7964" it_3_$$unsorted)) % 206.95/207.23 (define @t229 () (@var "b_BOUND_VARIABLE_7966" it_3_$$unsorted)) % 206.95/207.23 (define @t230 () (@var "BOUND_VARIABLE_7977" $$unsorted)) % 206.95/207.23 (define @t231 () (@var "BOUND_VARIABLE_7975" $$unsorted)) % 206.95/207.23 (define @t232 () (@var "BOUND_VARIABLE_7964" $$unsorted)) % 206.95/207.23 (define @t233 () (@var "BOUND_VARIABLE_7966" $$unsorted)) % 206.95/207.23 (define @t234 () (or @t39 @t63)) % 206.95/207.23 (define @t235 () (forall @t29 @t234)) % 206.95/207.23 (define @t236 () (@list @t4 @t2)) % 206.95/207.23 (define @t237 () (or @t38 @t64)) % 206.95/207.23 (define @t238 () (forall @t29 @t237)) % 206.95/207.23 (define @t239 () (and @t238 @t235)) % 206.95/207.23 (define @t240 () (_ @t75 @t144)) % 206.95/207.23 (define @t241 () (or @t240 @t224)) % 206.95/207.23 (assume @p1 @t31) % 206.95/207.23 (assume @p2 (forall @t34 (=> @t33 @t32))) % 206.95/207.23 (assume @p3 (forall @t34 (=> @t32 @t35))) % 206.95/207.23 (assume @p4 (forall @t34 (=> @t35 @t36))) % 206.95/207.23 (assume @p5 (forall @t34 (=> @t36 @t37))) % 206.95/207.23 (assume @p6 (exists @t34 (and @t39 @t37 @t36 @t35 @t32 @t33))) % 206.95/207.23 (assume @p7 (forall @t34 (=> @t37 (forall @t42 (=> @t41 @t40))))) % 206.95/207.23 (assume @p8 (forall @t34 (=> @t36 (forall @t42 (=> @t41 (and @t40 @t43)))))) % 206.95/207.23 (assume @p9 (forall @t34 (=> @t35 (forall @t42 (=> @t41 (and @t40 @t43 @t44)))))) % 206.95/207.23 (assume @p10 (forall @t34 (=> @t32 (forall @t42 (=> @t41 (and @t40 @t43 @t45 @t44)))))) % 206.95/207.23 (assume @p11 (forall @t34 (=> @t33 (forall @t42 (=> @t41 (and @t40 (tptp.natural @t2) @t43 @t45 @t44)))))) % 206.95/207.23 (assume @p12 (forall @t34 (=> @t37 (forall @t42 (=> @t48 @t46))))) % 206.95/207.23 (assume @p13 (forall @t34 (=> @t36 (forall @t42 (=> @t48 (and @t46 @t49)))))) % 206.95/207.23 (assume @p14 (forall @t34 (=> @t35 (forall @t42 (=> @t48 (and @t46 @t49 @t50)))))) % 206.95/207.23 (assume @p15 (forall @t34 (=> @t32 (forall @t42 (=> @t48 (and @t46 @t49 @t50 @t51)))))) % 206.95/207.23 (assume @p16 (forall @t34 (=> @t33 (forall @t42 (=> @t48 (and @t46 @t49 @t50 @t51 (tptp.v5_membered @t2))))))) % 206.95/207.23 (assume @p17 true) % 206.95/207.23 (assume @p18 (forall @t34 (=> @t39 (exists @t42 (and @t48 (not @t52)))))) % 206.95/207.23 (assume @p19 (forall @t34 (exists @t42 (and @t48 @t52)))) % 206.95/207.23 (assume @p20 (forall @t34 (=> @t38 (and @t37 @t36 @t35 @t32 @t33)))) % 206.95/207.23 (assume @p21 (forall @t29 (tptp.subset @t4 @t4))) % 206.95/207.23 (assume @p22 (forall @t29 (=> @t54 (not @t53)))) % 206.95/207.23 (assume @p23 (forall @t34 (=> @t25 (tptp.one_sorted_str @t4)))) % 206.95/207.23 (assume @p24 (forall @t34 (=> (and @t26 @t25) (exists @t42 (and @t24 (tptp.closed_subset @t2 @t4)))))) % 206.95/207.23 (assume @p25 @t55) % 206.95/207.23 (assume @p26 @t62) % 206.95/207.23 (assume @p27 @t66) % 206.95/207.23 (assume @p28 (forall @t34 (exists @t42 @t41))) % 206.95/207.23 (assume @p29 (tptp.empty tptp.empty_set)) % 206.95/207.23 (assume @p30 @t72) % 206.95/207.23 (assume @p31 (exists @t34 @t38)) % 206.95/207.23 (assume @p32 (exists @t34 @t39)) % 206.95/207.23 (assume @p33 (forall @t34 (=> @t38 (= @t4 tptp.empty_set)))) % 206.95/207.23 (assume @p34 (forall @t29 (not (and @t54 @t52)))) % 206.95/207.23 (assume @p35 (forall @t29 (not (and @t38 (not (= @t4 @t2)) @t52)))) % 206.95/207.23 ; WARNING: add trust step for TRUST % 206.95/207.23 ; trust TRUST PREPROCESS_SORT_INFER % 206.95/207.23 (step @p36 :rule trust :premises () :args ((= @t55 (forall (@list @t73) (not (_ @t75 (_ @t74 @t73))))))) % 206.95/207.23 (step @p37 :rule eq_resolve :premises (@p25 @p36)) % 206.95/207.23 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t93))) % 206.95/207.23 ; trust TRUST PREPROCESS_SORT_INFER % 206.95/207.23 (step @p39 :rule trust :premises () :args ((= (forall @t29 @t105) (forall (@list @t4 @t95) (or @t90 @t89 (not (_ @t80 @t95 @t79)) (not (forall @t99 (not (forall @t98 (= @t97 (and (_ @t85 @t94 @t79) (_ @t83 @t95 @t94) (_ @t80 @t94 @t79) (_ @t77 @t94 @t4)))))))))))) % 206.95/207.23 (step @p40 :rule aci_norm :args ((= (or @t106 @t103) @t105))) % 206.95/207.23 (step @p41 :rule refl :args (@t103)) % 206.95/207.23 (step @p42 :rule aci_norm :args ((= (or @t90 (or @t89 @t104)) @t106))) % 206.95/207.23 (step @p43 :rule bool-and-de-morgan :args (@t25 @t24 true)) % 206.95/207.23 (step @p44 :rule refl :args (@t90)) % 206.95/207.23 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t90 (not (and @t25 @t24))))) % 206.95/207.23 (step @p46 :rule bool-and-de-morgan :args (@t26 @t25 (and @t24))) % 206.95/207.23 (step @p47 :rule trans :premises (@p46 @p45)) % 206.95/207.23 (step @p48 :rule trans :premises (@p47 @p42)) % 206.95/207.23 (step @p49 :rule nary_cong :premises (@p48 @p41) :args ((or @t107 @t103))) % 206.95/207.23 (step @p50 :rule trans :premises (@p49 @p40)) % 206.95/207.23 (step @p51 :rule bool-impl-elim :args (@t27 @t103)) % 206.95/207.23 (step @p52 :rule trans :premises (@p51 @p50)) % 206.95/207.23 (step @p53 :rule cong :premises (@p52) :args ((forall @t29 (=> @t27 @t103)))) % 206.95/207.23 (step @p54 :rule exists-elim :args ((= (exists @t22 @t102) @t103))) % 206.95/207.23 (step @p55 :rule aci_norm :args ((= (and @t56 @t108) @t101))) % 206.95/207.23 (step @p56 :rule bool-double-not-elim :args (@t100)) % 206.95/207.23 (step @p57 :rule bool-double-not-elim :args (@t16)) % 206.95/207.23 (step @p58 :rule bool-double-not-elim :args (@t3)) % 206.95/207.23 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56) :args (@t115)) % 206.95/207.23 (step @p60 :rule aci_norm :args ((= (and @t114 (and @t112 @t110)) @t115))) % 206.95/207.23 (step @p61 :rule trans :premises (@p60 @p59)) % 206.95/207.23 (step @p62 :rule bool-or-de-morgan :args (@t111 @t109 false)) % 206.95/207.23 (step @p63 :rule refl :args (@t114)) % 206.95/207.23 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((and @t114 (not @t116)))) % 206.95/207.23 (step @p65 :rule bool-or-de-morgan :args (@t113 @t111 (or @t109))) % 206.95/207.23 (step @p66 :rule trans :premises (@p65 @p64)) % 206.95/207.23 (step @p67 :rule trans :premises (@p66 @p61)) % 206.95/207.23 (step @p68 :rule refl :args (@t56)) % 206.95/207.23 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t119)) % 206.95/207.23 (step @p70 :rule trans :premises (@p69 @p55)) % 206.95/207.23 (step @p71 :rule refl :args (@t14)) % 206.95/207.23 (step @p72 :rule cong :premises (@p71 @p70) :args (@t120)) % 206.95/207.23 (step @p73 :rule cong :premises (@p72) :args ((forall @t18 @t120))) % 206.95/207.23 (step @p74 :rule aci_norm :args ((= (or @t113 @t116) @t117))) % 206.95/207.23 (step @p75 :rule aci_norm :args ((= (or @t111 false @t109) @t116))) % 206.95/207.23 (step @p76 :rule refl :args (@t109)) % 206.95/207.23 (step @p77 :rule evaluate :args ((not true))) % 206.95/207.23 (step @p78 :rule eq-refl :args (@t1)) % 206.95/207.23 (step @p79 :rule cong :premises (@p78) :args (@t121)) % 206.95/207.23 (step @p80 :rule trans :premises (@p79 @p77)) % 206.95/207.23 (step @p81 :rule refl :args (@t111)) % 206.95/207.23 (step @p82 :rule nary_cong :premises (@p81 @p80 @p76) :args (@t122)) % 206.95/207.23 (step @p83 :rule trans :premises (@p82 @p75)) % 206.95/207.23 (step @p84 :rule quant-var-elim-eq :args ((= (forall @t11 (or (not @t7) @t126 @t125 @t123)) @t122))) % 206.95/207.23 (step @p85 :rule refl :args (@t123)) % 206.95/207.23 (step @p86 :rule refl :args (@t125)) % 206.95/207.23 (step @p87 :rule refl :args (@t126)) % 206.95/207.23 (step @p88 :rule eq-symm :args (@t1 @t5)) % 206.95/207.23 (step @p89 :rule cong :premises (@p88) :args (@t125)) % 206.95/207.23 (step @p90 :rule nary_cong :premises (@p89 @p87 @p86 @p85) :args (@t127)) % 206.95/207.23 (step @p91 :rule aci_norm :args ((= @t128 @t127))) % 206.95/207.23 (step @p92 :rule trans :premises (@p91 @p90)) % 206.95/207.23 (step @p93 :rule cong :premises (@p92) :args (@t129)) % 206.95/207.23 (step @p94 :rule trans :premises (@p93 @p84)) % 206.95/207.23 (step @p95 :rule trans :premises (@p94 @p83)) % 206.95/207.23 (step @p96 :rule refl :args (@t113)) % 206.95/207.23 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t130)) % 206.95/207.23 (step @p98 :rule trans :premises (@p97 @p74)) % 206.95/207.23 (step @p99 :rule quant-miniscope-or :args ((= (forall @t11 @t131) @t130))) % 206.95/207.23 (step @p100 :rule aci_norm :args ((= @t132 @t131))) % 206.95/207.23 (step @p101 :rule cong :premises (@p100) :args ((forall @t11 @t132))) % 206.95/207.23 (step @p102 :rule trans :premises (@p101 @p99)) % 206.95/207.23 (step @p103 :rule trans :premises (@p102 @p98)) % 206.95/207.23 (step @p104 :rule aci_norm :args ((= (or @t126 (or @t125 (or @t123 @t113))) @t132))) % 206.95/207.23 (step @p105 :rule bool-and-de-morgan :args (@t6 @t3 true)) % 206.95/207.23 (step @p106 :rule nary_cong :premises (@p86 @p105) :args ((or @t125 (not (and @t6 @t3))))) % 206.95/207.23 (step @p107 :rule bool-and-de-morgan :args (@t124 @t6 (and @t3))) % 206.95/207.23 (step @p108 :rule trans :premises (@p107 @p106)) % 206.95/207.23 (step @p109 :rule nary_cong :premises (@p87 @p108) :args ((or @t126 (not (and @t124 @t6 @t3))))) % 206.95/207.23 (step @p110 :rule bool-and-de-morgan :args (@t9 @t124 (and @t6 @t3))) % 206.95/207.23 (step @p111 :rule trans :premises (@p110 @p109)) % 206.95/207.23 (step @p112 :rule trans :premises (@p111 @p104)) % 206.95/207.23 (step @p113 :rule cong :premises (@p112) :args (@t134)) % 206.95/207.23 (step @p114 :rule trans :premises (@p113 @p103)) % 206.95/207.23 (step @p115 :rule cong :premises (@p114) :args (@t135)) % 206.95/207.23 (step @p116 :rule exists-elim :args ((= (exists @t11 @t133) @t135))) % 206.95/207.23 (step @p117 :rule trans :premises (@p116 @p115)) % 206.95/207.23 (step @p118 :rule refl :args (@t3)) % 206.95/207.23 (step @p119 :rule refl :args (@t6)) % 206.95/207.23 (step @p120 :rule eq-symm :args (@t5 @t1)) % 206.95/207.23 (step @p121 :rule refl :args (@t9)) % 206.95/207.23 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119 @p118) :args (@t10)) % 206.95/207.23 (step @p123 :rule cong :premises (@p122) :args (@t12)) % 206.95/207.23 (step @p124 :rule trans :premises (@p123 @p117)) % 206.95/207.23 (step @p125 :rule refl :args (@t56)) % 206.95/207.23 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t57)) % 206.95/207.23 (step @p127 :rule refl :args (@t14)) % 206.95/207.23 (step @p128 :rule cong :premises (@p127 @p126) :args (@t58)) % 206.95/207.23 (step @p129 :rule cong :premises (@p128) :args (@t59)) % 206.95/207.23 (step @p130 :rule trans :premises (@p129 @p73)) % 206.95/207.23 (step @p131 :rule cong :premises (@p130) :args (@t60)) % 206.95/207.23 (step @p132 :rule trans :premises (@p131 @p54)) % 206.95/207.23 (step @p133 :rule refl :args (@t27)) % 206.95/207.23 (step @p134 :rule cong :premises (@p133 @p132) :args (@t61)) % 206.95/207.23 (step @p135 :rule cong :premises (@p134) :args (@t62)) % 206.95/207.23 (step @p136 :rule trans :premises (@p135 @p53)) % 206.95/207.23 (step @p137 :rule trans :premises (@p136 @p39)) % 206.95/207.23 (step @p138 :rule eq_resolve :premises (@p26 @p137)) % 206.95/207.23 (step @p139 :rule instantiate :premises (@p138) :args ((@list @t92 @t136))) % 206.95/207.23 ; trust TRUST PREPROCESS_SORT_INFER % 206.95/207.23 (step @p140 :rule trust :premises () :args ((= (not (forall @t29 @t139)) (not @t91)))) % 206.95/207.23 (step @p141 :rule aci_norm :args ((= (or @t106 @t138) @t139))) % 206.95/207.23 (step @p142 :rule refl :args (@t138)) % 206.95/207.23 (step @p143 :rule nary_cong :premises (@p48 @p142) :args ((or @t107 @t138))) % 206.95/207.23 (step @p144 :rule trans :premises (@p143 @p141)) % 206.95/207.23 (step @p145 :rule bool-impl-elim :args (@t27 @t138)) % 206.95/207.23 (step @p146 :rule trans :premises (@p145 @p144)) % 206.95/207.23 (step @p147 :rule cong :premises (@p146) :args ((forall @t29 (=> @t27 @t138)))) % 206.95/207.23 (step @p148 :rule bool-and-de-morgan :args (@t20 @t137 true)) % 206.95/207.23 (step @p149 :rule cong :premises (@p148) :args (@t141)) % 206.95/207.23 (step @p150 :rule cong :premises (@p149) :args (@t142)) % 206.95/207.23 (step @p151 :rule exists-elim :args ((= (exists @t22 @t140) @t142))) % 206.95/207.23 (step @p152 :rule trans :premises (@p151 @p150)) % 206.95/207.23 (step @p153 :rule cong :premises (@p71 @p67) :args (@t143)) % 206.95/207.23 (step @p154 :rule refl :args (@t111)) % 206.95/207.23 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t111 @t143))) % 206.95/207.23 (step @p156 :rule bool-impl-elim :args (@t16 @t143)) % 206.95/207.23 (step @p157 :rule trans :premises (@p156 @p155)) % 206.95/207.23 (step @p158 :rule cong :premises (@p157) :args ((forall @t18 (=> @t16 @t143)))) % 206.95/207.23 (step @p159 :rule cong :premises (@p127 @p124) :args (@t15)) % 206.95/207.23 (step @p160 :rule refl :args (@t16)) % 206.95/207.23 (step @p161 :rule cong :premises (@p160 @p159) :args (@t17)) % 206.95/207.23 (step @p162 :rule cong :premises (@p161) :args (@t19)) % 206.95/207.23 (step @p163 :rule trans :premises (@p162 @p158)) % 206.95/207.23 (step @p164 :rule refl :args (@t20)) % 206.95/207.23 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t21)) % 206.95/207.23 (step @p166 :rule cong :premises (@p165) :args (@t23)) % 206.95/207.23 (step @p167 :rule trans :premises (@p166 @p152)) % 206.95/207.23 (step @p168 :rule cong :premises (@p133 @p167) :args (@t28)) % 206.95/207.23 (step @p169 :rule cong :premises (@p168) :args (@t30)) % 206.95/207.23 (step @p170 :rule trans :premises (@p169 @p147)) % 206.95/207.23 (step @p171 :rule cong :premises (@p170) :args (@t31)) % 206.95/207.23 (step @p172 :rule trans :premises (@p171 @p140)) % 206.95/207.23 (step @p173 :rule eq_resolve :premises (@p1 @p172)) % 206.95/207.23 (step @p174 :rule skolemize :premises (@p173)) % 206.95/207.23 (step @p175 :rule bool-double-not-elim :args (@t145)) % 206.95/207.23 (step @p176 :rule refl :args (@t157)) % 206.95/207.23 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t157 (not @t152)))) % 206.95/207.23 (step @p178 :rule cnf_or_neg :args (@t157 2)) % 206.95/207.23 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 206.95/207.23 (step @p180 :rule reordering :premises (@p179) :args ((or @t145 @t157))) % 206.95/207.23 (step @p181 :rule chain_m_resolution :premises (@p180 @p174) :args (@t145 @t158 @t159)) % 206.95/207.23 (step @p182 :rule bool-double-not-elim :args (@t153)) % 206.95/207.23 (step @p183 :rule nary_cong :premises (@p176 @p182) :args ((or @t157 (not @t154)))) % 206.95/207.23 (step @p184 :rule cnf_or_neg :args (@t157 1)) % 206.95/207.23 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 206.95/207.23 (step @p186 :rule reordering :premises (@p185) :args ((or @t153 @t157))) % 206.95/207.23 (step @p187 :rule chain_m_resolution :premises (@p186 @p174) :args (@t153 @t158 @t159)) % 206.95/207.23 (step @p188 :rule bool-double-not-elim :args (@t155)) % 206.95/207.23 (step @p189 :rule nary_cong :premises (@p176 @p188) :args ((or @t157 (not @t156)))) % 206.95/207.23 (step @p190 :rule cnf_or_neg :args (@t157 0)) % 206.95/207.23 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 206.95/207.23 (step @p192 :rule reordering :premises (@p191) :args ((or @t155 @t157))) % 206.95/207.23 (step @p193 :rule chain_m_resolution :premises (@p192 @p174) :args (@t155 @t158 @t159)) % 206.95/207.23 (step @p194 :rule cnf_or_pos :args (@t163)) % 206.95/207.23 (step @p195 :rule reordering :premises (@p194) :args ((or @t156 @t154 @t152 @t162 (not @t163)))) % 206.95/207.23 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p187 @p181 @p139) :args (@t162 (@list false false false false) (@list @t155 @t153 @t145 @t163))) % 206.95/207.23 (step @p197 :rule refl :args (@t166)) % 206.95/207.23 (step @p198 :rule bool-double-not-elim :args (@t161)) % 206.95/207.23 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or (not @t162) @t166))) % 206.95/207.23 (step @p200 :rule eq-symm :args (@t165 @t160)) % 206.95/207.23 (step @p201 :rule cong :premises (@p200) :args (@t167)) % 206.95/207.23 (step @p202 :rule bool-double-not-elim :args (@t167)) % 206.95/207.23 (step @p203 :rule trans :premises (@p202 @p201)) % 206.95/207.23 (step @p204 :rule refl :args (@t162)) % 206.95/207.23 (step @p205 :rule cong :premises (@p204 @p203) :args ((=> @t162 @t168))) % 206.95/207.23 (assume-push @p363 @t162) % 206.95/207.23 (step @p207 :rule skolemize :premises (@p196)) % 206.95/207.23 (step-pop @p364 :rule scope :premises (@p207)) % 206.95/207.23 (step @p208 :rule process_scope :premises (@p364) :args (@t168)) % 206.95/207.23 (step @p210 :rule eq_resolve :premises (@p208 @p205)) % 206.95/207.23 (step @p211 :rule implies_elim :premises (@p210)) % 206.95/207.23 (step @p212 :rule eq_resolve :premises (@p211 @p199)) % 206.95/207.23 (step @p213 :rule chain_m_resolution :premises (@p212 @p196) :args (@t166 @t158 (@list @t161))) % 206.95/207.23 (step @p214 :rule eq-symm :args (@t176 @t177)) % 206.95/207.23 (step @p215 :rule cong :premises (@p197 @p214) :args ((=> @t166 @t178))) % 206.95/207.23 (assume-push @p365 @t166) % 206.95/207.23 (step @p217 :rule instantiate :premises (@p213) :args ((@list @t171))) % 206.95/207.23 (step-pop @p366 :rule scope :premises (@p217)) % 206.95/207.23 (step @p218 :rule process_scope :premises (@p366) :args (@t178)) % 206.95/207.23 (step @p220 :rule eq_resolve :premises (@p218 @p215)) % 206.95/207.23 (step @p221 :rule implies_elim :premises (@p220)) % 206.95/207.23 (step @p222 :rule chain_m_resolution :premises (@p221 @p213) :args (@t179 @t180 @t181)) % 206.95/207.23 (step @p223 :rule cnf_and_pos :args (@t182 2)) % 206.95/207.23 (step @p224 :rule reordering :premises (@p223) :args ((or @t172 @t183))) % 206.95/207.23 (step @p225 :rule cnf_and_pos :args (@t176 3)) % 206.95/207.23 (step @p226 :rule reordering :premises (@p225) :args ((or @t172 @t184))) % 206.95/207.23 (step @p227 :rule bool-double-not-elim :args (@t150)) % 206.95/207.23 (step @p228 :rule nary_cong :premises (@p176 @p227) :args ((or @t157 (not @t151)))) % 206.95/207.23 (step @p229 :rule cnf_or_neg :args (@t157 3)) % 206.95/207.23 (step @p230 :rule eq_resolve :premises (@p229 @p228)) % 206.95/207.23 (step @p231 :rule reordering :premises (@p230) :args ((or @t150 @t157))) % 206.95/207.23 (step @p232 :rule chain_m_resolution :premises (@p231 @p174) :args (@t150 @t158 @t159)) % 206.95/207.23 (step @p233 :rule eq-symm :args (@t169 @t147)) % 206.95/207.23 (step @p234 :rule refl :args (@t148)) % 206.95/207.23 (step @p235 :rule nary_cong :premises (@p234 @p233) :args (@t185)) % 206.95/207.23 (step @p236 :rule cong :premises (@p235) :args (@t186)) % 206.95/207.23 (step @p237 :rule cong :premises (@p236) :args (@t187)) % 206.95/207.23 (step @p238 :rule refl :args (@t189)) % 206.95/207.23 (step @p239 :rule nary_cong :premises (@p238 @p237) :args (@t190)) % 206.95/207.23 (step @p240 :rule refl :args (@t150)) % 206.95/207.23 (step @p241 :rule cong :premises (@p240 @p239) :args ((=> @t150 @t190))) % 206.95/207.23 (assume-push @p367 @t150) % 206.95/207.23 (step @p243 :rule instantiate :premises (@p232) :args ((@list @t164))) % 206.95/207.23 (step-pop @p368 :rule scope :premises (@p243)) % 206.95/207.23 (step @p244 :rule process_scope :premises (@p368) :args (@t190)) % 206.95/207.23 (step @p246 :rule eq_resolve :premises (@p244 @p241)) % 206.95/207.23 (step @p247 :rule implies_elim :premises (@p246)) % 206.95/207.23 (step @p248 :rule chain_m_resolution :premises (@p247 @p232) :args (@t192 @t180 (@list @t150))) % 206.95/207.23 ; trust TRUST PREPROCESS_SORT_INFER % 206.95/207.23 (step @p249 :rule trust :premises () :args ((= (forall @t29 (or (not @t197) @t67)) (forall (@list @t194 @t193) (or (not (forall @t196 (or (not (_ @t85 @t195 @t194)) (_ @t85 @t195 @t193)))) (_ @t80 @t194 (_ @t74 @t193))))))) % 206.95/207.23 (step @p250 :rule bool-impl-elim :args (@t197 @t67)) % 206.95/207.23 (step @p251 :rule cong :premises (@p250) :args ((forall @t29 (=> @t197 @t67)))) % 206.95/207.23 (step @p252 :rule refl :args (@t67)) % 206.95/207.23 (step @p253 :rule bool-impl-elim :args (@t69 @t68)) % 206.95/207.23 (step @p254 :rule cong :premises (@p253) :args (@t70)) % 206.95/207.23 (step @p255 :rule cong :premises (@p254 @p252) :args (@t71)) % 206.95/207.23 (step @p256 :rule cong :premises (@p255) :args (@t72)) % 206.95/207.23 (step @p257 :rule trans :premises (@p256 @p251)) % 206.95/207.23 (step @p258 :rule trans :premises (@p257 @p249)) % 206.95/207.23 (step @p259 :rule eq_resolve :premises (@p30 @p258)) % 206.95/207.23 (step @p260 :rule instantiate :premises (@p259) :args ((@list @t164 @t144))) % 206.95/207.23 (step @p261 :rule bool-double-not-elim :args (@t200)) % 206.95/207.23 (step @p262 :rule refl :args (@t203)) % 206.95/207.23 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or @t203 (not @t202)))) % 206.95/207.23 (step @p264 :rule cnf_or_neg :args (@t203 0)) % 206.95/207.23 (step @p265 :rule eq_resolve :premises (@p264 @p263)) % 206.95/207.23 (step @p266 :rule reordering :premises (@p265) :args ((or @t200 @t203))) % 206.95/207.23 (step @p267 :rule cnf_or_neg :args (@t203 1)) % 206.95/207.23 (step @p268 :rule eq-symm :args (@t204 @t200)) % 206.95/207.23 (step @p269 :rule cong :premises (@p197 @p268) :args ((=> @t166 @t205))) % 206.95/207.23 (assume-push @p369 @t166) % 206.95/207.23 (step @p271 :rule instantiate :premises (@p213) :args ((@list @t199))) % 206.95/207.23 (step-pop @p370 :rule scope :premises (@p271)) % 206.95/207.23 (step @p272 :rule process_scope :premises (@p370) :args (@t205)) % 206.95/207.23 (step @p274 :rule eq_resolve :premises (@p272 @p269)) % 206.95/207.23 (step @p275 :rule implies_elim :premises (@p274)) % 206.95/207.23 (step @p276 :rule chain_m_resolution :premises (@p275 @p213) :args (@t206 @t180 @t181)) % 206.95/207.23 (step @p277 :rule cnf_equiv_pos1 :args (@t206)) % 206.95/207.23 (step @p278 :rule reordering :premises (@p277) :args ((or @t202 @t204 (not @t206)))) % 206.95/207.23 (step @p279 :rule cnf_and_pos :args (@t204 0)) % 206.95/207.23 (step @p280 :rule reordering :premises (@p279) :args ((or @t201 (not @t204)))) % 206.95/207.23 (step @p281 :rule chain_m_resolution :premises (@p280 @p278 @p276 @p267 @p266) :args (@t203 (@list false false true false) (@list @t204 @t206 @t201 @t200))) % 206.95/207.23 (step @p282 :rule refl :args (@t207)) % 206.95/207.23 (step @p283 :rule bool-double-not-elim :args (@t198)) % 206.95/207.23 (step @p284 :rule nary_cong :premises (@p283 @p282) :args ((or (not @t208) @t207))) % 206.95/207.23 (assume-push @p371 @t208) % 206.95/207.23 (step @p286 :rule skolemize :premises (@p371)) % 206.95/207.23 (step-pop @p372 :rule scope :premises (@p286)) % 206.95/207.23 (step @p287 :rule process_scope :premises (@p372) :args (@t207)) % 206.95/207.23 (step @p289 :rule implies_elim :premises (@p287)) % 206.95/207.23 (step @p290 :rule eq_resolve :premises (@p289 @p284)) % 206.95/207.23 (step @p291 :rule chain_m_resolution :premises (@p290 @p281) :args (@t198 @t180 (@list @t203))) % 206.95/207.23 (step @p292 :rule cnf_or_pos :args (@t209)) % 206.95/207.23 (step @p293 :rule reordering :premises (@p292) :args ((or @t188 @t208 (not @t209)))) % 206.95/207.23 (step @p294 :rule chain_m_resolution :premises (@p293 @p291 @p260) :args (@t188 @t210 (@list @t198 @t209))) % 206.95/207.23 (step @p295 :rule cnf_or_pos :args (@t192)) % 206.95/207.23 (step @p296 :rule reordering :premises (@p295) :args ((or @t189 @t191 (not @t192)))) % 206.95/207.23 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p248) :args (@t191 @t210 (@list @t188 @t192))) % 206.95/207.23 (step @p298 :rule refl :args (@t214)) % 206.95/207.23 (step @p299 :rule bool-double-not-elim :args (@t170)) % 206.95/207.23 (step @p300 :rule nary_cong :premises (@p299 @p298) :args ((or (not @t191) @t214))) % 206.95/207.23 (assume-push @p373 @t191) % 206.95/207.23 (step @p302 :rule skolemize :premises (@p373)) % 206.95/207.23 (step-pop @p374 :rule scope :premises (@p302)) % 206.95/207.23 (step @p303 :rule process_scope :premises (@p374) :args (@t214)) % 206.95/207.23 (step @p305 :rule implies_elim :premises (@p303)) % 206.95/207.23 (step @p306 :rule eq_resolve :premises (@p305 @p300)) % 206.95/207.23 (step @p307 :rule chain_m_resolution :premises (@p306 @p297) :args (@t214 @t158 (@list @t170))) % 206.95/207.23 (step @p308 :rule cnf_or_neg :args (@t213 1)) % 206.95/207.23 (step @p309 :rule chain_m_resolution :premises (@p308 @p307) :args ((not @t211) @t158 @t215)) % 206.95/207.23 (step @p310 :rule cnf_equiv_neg1 :args (@t211)) % 206.95/207.23 (step @p311 :rule reordering :premises (@p310) :args ((or @t182 @t177 @t211))) % 206.95/207.23 (step @p312 :rule cnf_equiv_pos1 :args (@t179)) % 206.95/207.23 (step @p313 :rule reordering :premises (@p312) :args ((or @t217 @t176 @t216))) % 206.95/207.23 (step @p314 :rule chain_m_resolution :premises (@p313 @p222 @p311 @p309 @p226 @p224) :args (@t172 @t218 @t219)) % 206.95/207.23 (step @p315 :rule cnf_and_pos :args (@t182 0)) % 206.95/207.23 (step @p316 :rule reordering :premises (@p315) :args ((or @t174 @t183))) % 206.95/207.23 (step @p317 :rule cnf_and_pos :args (@t176 1)) % 206.95/207.23 (step @p318 :rule reordering :premises (@p317) :args ((or @t174 @t184))) % 206.95/207.23 (step @p319 :rule chain_m_resolution :premises (@p313 @p222 @p311 @p309 @p318 @p316) :args (@t174 @t218 @t219)) % 206.95/207.23 (step @p320 :rule bool-double-not-elim :args (@t173)) % 206.95/207.23 (step @p321 :rule refl :args (@t213)) % 206.95/207.23 (step @p322 :rule nary_cong :premises (@p321 @p320) :args ((or @t213 (not @t212)))) % 206.95/207.23 (step @p323 :rule cnf_or_neg :args (@t213 0)) % 206.95/207.23 (step @p324 :rule eq_resolve :premises (@p323 @p322)) % 206.95/207.23 (step @p325 :rule reordering :premises (@p324) :args ((or @t173 @t213))) % 206.95/207.23 (step @p326 :rule chain_m_resolution :premises (@p325 @p307) :args (@t173 @t158 @t215)) % 206.95/207.23 (step @p327 :rule cnf_and_neg :args (@t182)) % 206.95/207.23 (step @p328 :rule reordering :premises (@p327) :args ((or @t212 @t182 @t221 @t220))) % 206.95/207.23 (step @p329 :rule chain_m_resolution :premises (@p328 @p326 @p319 @p314) :args (@t182 (@list false false false) (@list @t173 @t174 @t172))) % 206.95/207.23 (step @p330 :rule cnf_equiv_neg2 :args (@t211)) % 206.95/207.23 (step @p331 :rule chain_m_resolution :premises (@p330 @p309 @p329) :args (@t217 @t222 (@list @t211 @t182))) % 206.95/207.23 (step @p332 :rule cnf_equiv_pos2 :args (@t179)) % 206.95/207.23 (step @p333 :rule reordering :premises (@p332) :args ((or @t177 @t184 @t216))) % 206.95/207.23 (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p222) :args (@t184 @t222 (@list @t177 @t179))) % 206.95/207.23 (step @p335 :rule cnf_and_neg :args (@t176)) % 206.95/207.23 (step @p336 :rule reordering :premises (@p335) :args ((or @t212 @t221 @t220 @t176 @t223))) % 206.95/207.23 (step @p337 :rule chain_m_resolution :premises (@p336 @p326 @p319 @p314 @p334) :args (@t223 (@list false false false true) (@list @t173 @t174 @t172 @t176))) % 206.95/207.23 (step @p338 :rule cnf_equiv_pos1 :args (@t224)) % 206.95/207.23 (step @p339 :rule reordering :premises (@p338) :args ((or @t212 @t175 @t225))) % 206.95/207.23 (step @p340 :rule chain_m_resolution :premises (@p339 @p326 @p337) :args (@t225 (@list false true) (@list @t173 @t175))) % 206.95/207.23 ; trust TRUST PREPROCESS_SORT_INFER % 206.95/207.23 (step @p341 :rule trust :premises () :args ((= (and (forall (@list @t232 @t233) (or (tptp.empty @t232) (= (tptp.element @t233 @t232) (tptp.in @t233 @t232)))) (forall (@list @t231 @t230) (or (not (tptp.empty @t231)) (= (tptp.element @t230 @t231) (tptp.empty @t230))))) (and (forall (@list @t228 @t229) (or (_ @t75 @t228) (= (_ @t80 @t229 @t228) (_ @t85 @t229 @t228)))) (forall (@list @t227 @t226) (or (not (_ @t75 @t227)) (= (_ @t80 @t226 @t227) (_ @t75 @t226)))))))) % 206.95/207.23 (step @p342 :rule alpha_equiv :args (@t235 @t236 (@list @t231 @t230))) % 206.95/207.23 (step @p343 :rule alpha_equiv :args (@t238 @t236 (@list @t232 @t233))) % 206.95/207.23 (step @p344 :rule nary_cong :premises (@p343 @p342) :args (@t239)) % 206.95/207.23 (step @p345 :rule quant-miniscope-and :args ((= (forall @t29 (and @t237 @t234)) @t239))) % 206.95/207.23 (step @p346 :rule trans :premises (@p345 @p344)) % 206.95/207.23 (step @p347 :rule bool-impl-elim :args (@t38 @t63)) % 206.95/207.23 (step @p348 :rule refl :args (@t64)) % 206.95/207.23 (step @p349 :rule bool-double-not-elim :args (@t38)) % 206.95/207.23 (step @p350 :rule nary_cong :premises (@p349 @p348) :args ((or (not @t39) @t64))) % 206.95/207.23 (step @p351 :rule bool-impl-elim :args (@t39 @t64)) % 206.95/207.23 (step @p352 :rule trans :premises (@p351 @p350)) % 206.95/207.23 (step @p353 :rule nary_cong :premises (@p352 @p347) :args (@t65)) % 206.95/207.23 (step @p354 :rule cong :premises (@p353) :args (@t66)) % 206.95/207.23 (step @p355 :rule trans :premises (@p354 @p346)) % 206.95/207.23 (step @p356 :rule trans :premises (@p355 @p341)) % 206.95/207.23 (step @p357 :rule eq_resolve :premises (@p27 @p356)) % 206.95/207.23 (step @p358 :rule and_elim :premises (@p357) :args (0)) % 206.95/207.23 (step @p359 :rule instantiate :premises (@p358) :args ((@list @t144 @t171))) % 206.95/207.23 (step @p360 :rule cnf_or_pos :args (@t241)) % 206.95/207.23 (step @p361 :rule reordering :premises (@p360) :args ((or @t240 @t224 (not @t241)))) % 206.95/207.23 (step @p362 false :rule chain_m_resolution :premises (@p361 @p359 @p340 @p38) :args (false (@list false true true) (@list @t241 @t224 @t240))) % 206.95/207.23 ) % 206.95/207.23 % SZS output end Proof % 206.95/207.23 % cvc5 exiting %------------------------------------------------------------------------------